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153341306001 = 321310331268741
BaseRepresentation
bin1000111011001111011…
…0101010010010010001
3112122210121201110000200
42032303312222102101
510003020333243001
6154235524205413
714035640411112
oct2166366522221
9478717643020
10153341306001
115a039195874
1225875839869
13115c98948c0
1475c9440209
153ec70e1086
hex23b3daa491

153341306001 has 24 divisors (see below), whose sum is σ = 238762019496. Its totient is φ = 94272456960.

The previous prime is 153341305967. The next prime is 153341306009. The reversal of 153341306001 is 100603143351.

153341306001 is a `hidden beast` number, since 1 + 53 + 3 + 4 + 1 + 3 + 0 + 600 + 1 = 666.

153341306001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77606816400 + 75734489601 = 278580^2 + 275199^2 .

It is not a de Polignac number, because 153341306001 - 29 = 153341305489 is a prime.

It is a super-2 number, since 2×1533413060012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153341306009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513510 + ... + 755231.

It is an arithmetic number, because the mean of its divisors is an integer number (9948417479).

Almost surely, 2153341306001 is an apocalyptic number.

It is an amenable number.

153341306001 is a deficient number, since it is larger than the sum of its proper divisors (85420713495).

153341306001 is a wasteful number, since it uses less digits than its factorization.

153341306001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269793 (or 1269790 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 153341306001 its reverse (100603143351), we get a palindrome (253944449352).

The spelling of 153341306001 in words is "one hundred fifty-three billion, three hundred forty-one million, three hundred six thousand, one".

Divisors: 1 3 9 13 39 117 1033 3099 9297 13429 40287 120861 1268741 3806223 11418669 16493633 49480899 148442697 1310609453 3931828359 11795485077 17037922889 51113768667 153341306001